Practice Direct Vs. Inverse Proportion (2.6.2.4) - Unit 1: Number Sense & Operations: Foundations for Fluency
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Direct vs. Inverse Proportion

Practice - Direct vs. Inverse Proportion

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

If y is directly proportional to x, and y = 10 when x = 2, what is y when x = 4?

💡 Hint: Remember the formula y = kx; first find k.

Question 2 Easy

In an inverse proportion, if y = 8 when x = 2, what is y when x = 4?

💡 Hint: Use the inverse proportion relation y = k/x.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What happens in a direct proportion?

Both quantities increase together
One quantity increases while the other decreases.
No relationship exists.

💡 Hint: Think of a relationship where changes are together.

Question 2

In an inverse proportion, what happens when one variable increases?

True
False

💡 Hint: Consider what happens to related variables.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If a car travels at 70 km/h, how far will it go in 4 hours? If another car travels at 140 km/h, how long before it reaches the same spot?

💡 Hint: First, calculate the distance using direct proportion, then apply inverse for determining time.

Challenge 2 Hard

In the relationship of dose and weight, if 20mg is given to someone weighing 60kg, how much would a 90kg person receive?

💡 Hint: Establish the direct ratio and compare dosing ratios.

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